What is the Greatest Common Factor of 52065 and 52083?

Greatest common factor (GCF) of 52065 and 52083 is 9.

GCF(52065,52083) = 9

We will now calculate the prime factors of 52065 and 52083, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 52065 and 52083.

How to find the GCF of 52065 and 52083?

We will first find the prime factorization of 52065 and 52083. After we will calculate the factors of 52065 and 52083 and find the biggest common factor number .

Step-1: Prime Factorization of 52065

Prime factors of 52065 are 3, 5, 13, 89. Prime factorization of 52065 in exponential form is:

52065 = 3² × 5¹ × 13¹ × 89¹

Step-2: Prime Factorization of 52083

Prime factors of 52083 are 3, 643. Prime factorization of 52083 in exponential form is:

52083 = 3⁴ × 643¹

Step-3: Factors of 52065

List of positive integer factors of 52065 that divides 52065 without a remainder.

1, 3, 5, 9, 13, 15, 39, 45, 65, 89, 117, 195, 267, 445, 585, 801, 1157, 1335, 3471, 4005, 5785, 10413, 17355

Step-4: Factors of 52083

List of positive integer factors of 52083 that divides 52065 without a remainder.

1, 3, 9, 27, 81, 643, 1929, 5787, 17361

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 52065 and 52083. The biggest common factor number is the GCF number.
So the greatest common factor 52065 and 52083 is 9.

Also check out the Least Common Multiple of 52065 and 52083